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Beliebt Funktionen >

extreme f(x)=x^4-8x^3+10

Lösung

extrempunkte

f (x) = x^{4} - 8 x^{3} + 10

Lösung

Sattel (0, 10), Minimum (6, - 422)

Schritte zur Lösung

f^{'} (x) = 4 x^{3} - 24 x^{2}

Intervalle finden:

Absteigend

: - \infty < x < 0,

Absteigend

: 0 < x < 6,

Ansteigend

: 6 < x < \infty

Stecke

x = 0

in

x^{4} - 8 x^{3} + 10 : 10

Sattel (0, 10)

Stecke

x = 6

in

x^{4} - 8 x^{3} + 10 : - 422

Minimum (6, - 422)

Sattel (0, 10), Minimum (6, - 422)

Graph

Beliebte Beispiele

extreme f(x)=x^3-6x^2+9x-3

e x t re m e f (x) = x^{3} - 6 x^{2} + 9 x - 3

extreme f(x)=x^3-6x^2+9x+3

e x t re m e f (x) = x^{3} - 6 x^{2} + 9 x + 3

extreme f(x,y)=ye^x-2e^x-e^y+5

e x t re m e f (x, y) = y e^{x} - 2 e^{x} - e^{y} + 5

extreme f(x,y)=e^{2xy}

e x t re m e f (x, y) = e^{2 x y}

extreme f(x,y)=ln|x+e^y|-sin(5xy^2)

e x t re m e f (x, y) = ln ∣ x + e^{y} ∣ - sin (5 x y^{2})